It is worthless compared to ours since ours is the default standard whether others are tied to it or not. Its been our salvation thus far: if not ours, whose?
China is working real hard to make their yuan the world standard. When and if that happens ours is subject to the same pressures.
You are correct, without our currency being the world's currency, it will all go south very fast if the world stopped depending on America for having sound currency.